Magic22 as srutis: Difference between revisions
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=Magic[22] as srutis= | = Magic[22] as srutis = | ||
:''<tt>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_63593.html#63593 Original article] by [[ | :''<tt>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_63593.html#63593 Original article] by [[Gene Ward Smith]], on the Yahoo tuning forum, is quoted here.</tt>'' | ||
What srutis are seems to be fairly flexible. However, reasonably authentic conditions to impose are the following: | What srutis are seems to be fairly flexible. However, reasonably authentic conditions to impose are the following: | ||
(1) It should contain the Sa-grama, 9/ | (1) It should contain the Sa-grama, 9/8—5/4—4/3—3/2—27/16—15/8—2. | ||
(2) It should give the major whole tone, 9/8, four srutis, 10/9 three srutis, and 16/15 two srutis, hence giving the octave 22 srutis. | (2) It should give the major whole tone, 9/8, four srutis, 10/9 three srutis, and 16/15 two srutis, hence giving the octave 22 srutis. | ||
(3) 9/8, 10/9 and 16/15 are each always of the same size, and distinguished, with 9/8>10/9>16/15. | (3) 9/8, 10/9 and 16/15 are each always of the same size, and distinguished, with 9/8 > 10/9 > 16/15. | ||
Many scales fulfill these conditions, and one of the most interesting, I think, is Magic[22], the 22-note MOS of the [[ | Many scales fulfill these conditions, and one of the most interesting, I think, is Magic[22], the 22-note MOS of the [[Magic|magic temperament]]. Using the generator of 13 steps of [[41edo|41-et]], if we take the shrutis for 10/9 to always be 222, and the srutis for 16/15 to always be 22, we are left to give three steps of size 2, and one of size 1, for the srutis given to 9/8. If we vary the pattern of doing this we can get Magic[22]: | ||
1—(2212)—9/8—(222)—5/4—(22)—4/3—(1222)—3/2—(2221)—27/16—(222)—15/8—(22)—2 | |||
Here the numbers in parethesis are the scale step patters between one note of Sa-grama and the next. | Here the numbers in parethesis are the scale step patters between one note of Sa-grama and the next. | ||
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''<tt>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_63594.html Original article] by Gene Ward Smith, on the Yahoo tuning forum, is quoted here.</tt>'' | ''<tt>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_63594.html Original article] by Gene Ward Smith, on the Yahoo tuning forum, is quoted here.</tt>'' | ||
Magic is the 22&41 temperament; we can also concoct srutis out of shrutar, the 22&46 temperament. We now make each 9/8 a 2222 in [[46edo|46et]], and each 16/15 a 22. This leaves two 2 steps and a 3 step for 10/9, where we can vary the pattern. This time we make it | Magic is the 22&41 temperament; we can also concoct srutis out of [[Diaschismic family#Shrutar|shrutar]], the 22&46 temperament. We now make each 9/8 a 2222 in [[46edo|46et]], and each 16/15 a 22. This leaves two 2 steps and a 3 step for 10/9, where we can vary the pattern. This time we make it | ||
1—(2222)—9/8—(322)—5/4—(22)—4/3—(2222)—3/2—(2222)—27/16—(223)—15/8—(22)—2 | |||
This gives Shrutar[22]. | This gives Shrutar[22]. | ||
[[Category:Magic]] | |||
[[Category:22-tone scales]] | |||
[[Category:Indian music]] | |||
{{Todo| cleanup }} | |||